please show work!! 010 L)os Evaluate the following, or show that it diverges: 86. on scal...
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
please show all work Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
Question 18 For the following questions, you must show all work to receive full credit. Not yet answered Points out of 30.00 1 Vx da (a) Evaluate Jo 1 + x3 P Flag question poo e dx (b) Evaluate the improper integral Jo e2x + 1 er integrat (cº de toi cel Evaluate , * con lo) sin(as) de (c) Evaluate os? (x) sin? (x) dx (d) Evaluate the dx lo (e) Show work to calculate/justify why the following integral...
all part of one question Determine whether the following series converges absolutely, converges conditionally, or diverges. OD (-1)"ax= k1 k=1 Vk 14 +9 Find lim ak. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. k-20 OA. lim ax - OB. The limit does not exist. (-1*45 Now, let a denote E What can be concluded from this result using the Divergence Test? 14 k=1 Vk +9 O A. The series Elak...
SHOW WORK. THANK YOU! 55-68. Telescoping series For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S}. Then evaluate lim S, to obtain the value of the series or state that the series diverges." 62. Š(Vx + 1 - Va)
Please give an explanation to all work! I need an explanation as to why this is convergent or divergent. Also please show ALL steps to this problem! Without the work and explanation the answer does not mean anything. Test the series for convergence or divergence. Σ (-1)" 8"n! n = 0 Identify bn Evaluate the following limit. lim bn n → 00 Since no lim bn ? A 0 and bn + 1 ? bn for all n, ---Select--- If...
Evaluate the integrals. Please show each step clearly. Thanks! :) 1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)3
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
please show all work.. Determine whether the following series converges. Justify your answer. 00 14 k พ 14k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. B. The Root Test yields p = so the series diverges by the Root Test. C. The Ratio Test...
please show all work and dont forget to evaluate the intefral Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10-4. 0.33 S s in (1+x2) dx 0 Rewrite the given integral using a Taylor series and simplify the result. Choose the correct answer below. 0.33 0.33 x4 x4 OA X- x² ² 2! 3! + dx B. X- x² x² 2 3 + +.. dx...